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Finding the Fourth Proportional to 309,868.54, 464,517.59 and 120,454.90

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Solution

The fourth proportional to 309,868.54, 464,517.59 and 120,454.90 is: 180,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,868.54 : 464,517.59 = 120,454.90 : x
  2. Step 2: Convert to fraction form
    309,868.54/464,517.59 = 120,454.90/x
  3. Step 3: Cross multiply
    309,868.54x = 464,517.59 × 120,454.90
  4. Step 4: Simplify right side
    309,868.54x = 55,953,418,088.12
  5. Step 5: Solve for x
    x = 55,953,418,088.12/309,868.54
  6. Step 6: Final answer
    x = 180,571.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.